Math 111. Set Theory I

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Naive set theory. Bertrand Russell’s paradox. Some axiomatic set theory. Cartesian products. Functions, injections, surjections, bijections, Sym(X), Sym(n), relations, graphs and their automorphisms, orders, equivalence relations, quotient spaces, quotient maps, structures, morphisms, automorphisms. Closure operators. Construction of the set of natural numbers and integers. Peano Axioms. Primes and irreducibles in Z. Greatest common divisor and least common multiple. Topics selected by the instructor.

Requires consent of instructor for non-departmental students. Non math-majors are strongly discouraged.

Instructor: Ali Nesin
Assistant: Doğan Bilge
Credits: 4

Ali Nesin's Lecture Notes: dvi pdf ps

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